Is there a way to include aspect ratio correction without using matrices in OpenGL ES?
I am writing a simple shader to rotate a texture.
void main()
{
mat2 rotX = mat2(cosA, sinA, -sinA, cosA);
vec4 a_pos = a_position;
a_pos.xy = a_position.xy * rotZ;
gl_Position = a_pos;
}
But the problem is that the image is getting skewed when rotating.
In normal openGL, we use something like gluPerspective(fov, (float)windowWidth/(float)windowHeight, zNear, zFar);
How do i do the same with shaders?
Note: I'd prefer not using a matrix.
Include aspect ratio fix in geometry of rendered object? I did so in my font rendering tool, position of verts in each rect is corrected by aspect ratio of screen, and yes i know that its better and easier do use matrix fix but i didnt know it when i was writing this tool, and it works fine:)
You can manually translate a code of GluPerspective to shader:
http://www.opengl.org/wiki/GluPerspective_code
But it is not efficient to calcuelte this matrix for each vertex. So you can manually calculate it for your device screen. Look at these posts
Just change the matrix multiplication order for rotation:
a_pos.xy = rotZ * a_position.xy;
Related
First, before I go on, I have read through: SceneKit painting on texture with texture coordinates which seems to suggest I'm on the right track.
I have a complex SCNGeometry representing a hexasphere. It's rendering really well, and with a full 60fps on all of my test devices.
At the moment, all of the hexagons are being rendered with a single material, because, as I understand it, every SCNMaterial I add to my geometry adds another draw call, which I can't afford.
Ultimately, I want to be able to color each of the almost 10,000 hexagons individually, so adding another material for each one is not going to work.
I had been planning to limit the color range to (say) 100 colors, and then move hexagons between different geometries, each with their own colored material, but that won't work because SCNGeometry says it works with an immutable set of vertices.
So, my current thought/plan is to use a shader modifier as suggested by #rickster in the above-mentioned question to somehow modify the color of individual hexagons (or sets of 4 triangles).
The thing is, I sort of understand the Apple doco referred to, but I don't understand how to provide the shader with what I think must essentially be an array of colour information, somehow indexed so that the shader knows which triangles to give what colors.
The code I have now, that creates the geometry reads as:
NSData *indiceData = [NSData dataWithBytes:oneMeshIndices length:sizeof(UInt32) * indiceIndex];
SCNGeometryElement *oneMeshElement =
[SCNGeometryElement geometryElementWithData:indiceData
primitiveType:SCNGeometryPrimitiveTypeTriangles
primitiveCount:indiceIndex / 3
bytesPerIndex:sizeof(UInt32)];
[oneMeshElements addObject:oneMeshElement];
SCNGeometrySource *oneMeshNormalSource =
[SCNGeometrySource geometrySourceWithNormals:oneMeshNormals count:normalIndex];
SCNGeometrySource *oneMeshVerticeSource =
[SCNGeometrySource geometrySourceWithVertices:oneMeshVertices count:vertexIndex];
SCNGeometry *oneMeshGeom =
[SCNGeometry geometryWithSources:[NSArray arrayWithObjects:oneMeshVerticeSource, oneMeshNormalSource, nil]
elements:oneMeshElements];
SCNMaterial *mat1 = [SCNMaterial material];
mat1.diffuse.contents = [UIColor greenColor];
oneMeshGeom.materials = #[mat1];
SCNNode *node = [SCNNode nodeWithGeometry:oneMeshGeom];
If someone can shed some light on how to provide the shader with a way to color each triangle indexed by the indices in indiceData, that would be fantastic.
EDIT
I've tried looking at providing the shader with a texture as a container for color information that would be indexed by the VertexID however it seems that SceneKit doesn't make the VertexID available. My thought was to provide this texture (actually just an array of bytes, 1 per hexagon on the hexasphere), via the SCNMaterialProperty class and then, in the shader, pull out the appropriate byte, based on the vertex number. That byte would be used to index an array of fixed colors and the resultant color for each vertex would then give the desired result.
Without a VertexID, this idea won't work, unless there is some other, similarly useful piece of data...
EDIT 2
Perhaps I am stubborn. I've been trying to get this to work, and as an experiment I created an image that is basically a striped rainbow and wrote the following shader, thinking it would basically colour my sphere with the rainbow.
It doesn't work. The entire sphere is drawn using the colour in the top left corner of the image.
My shaderModifer code is:
#pragma arguments
sampler2D colorMap;
uniform sampler2D colorMap;
#pragma body
vec4 color = texture2D(colorMap, _surface.diffuseTexcoord);
_surface.diffuse.rgba = color;
and I apply this using the code:
SCNMaterial *mat1 = [SCNMaterial material];
mat1.locksAmbientWithDiffuse = YES;
mat1.doubleSided = YES;
mat1.shaderModifiers = #{SCNShaderModifierEntryPointSurface :
#"#pragma arguments\nsampler2D colorMap;\nuniform sampler2D colorMap;\n#pragma body\nvec4 color = texture2D(colorMap, _surface.diffuseTexcoord);\n_surface.diffuse.rgba = color;"};
colorMap = [SCNMaterialProperty materialPropertyWithContents:[UIImage imageNamed:#"rainbow.png"]];
[mat1 setValue:colorMap forKeyPath:#"colorMap"];
I had thought that the _surface.diffuseTexcoord would be appropriate but I'm beginning to think I need to somehow map that to a coordinate in the image by knowing the dimensions of the image and interpolating somehow.
But if this is the case, what units are _surface.diffuseTexcoord in? How do I know the min/max range of this so that I can map it to the image?
Once again, I'm hoping someone can steer me in the right direction if these attempts are wrong.
EDIT 3
OK, so I know I'm on the right track now. I've realised that by using _surface.normal instead of _surface.diffuseTexcoord I can use that as a latitude/longitude on my sphere to map to an x,y in the image and I now see the hexagons being colored based on the color in the colorMap however it doesn't matter what I do (so far); the normal angles seem to be fixed in relation to the camera position, so when I move the camera to look at a different point of the sphere, the colorMap doesn't rotate with it.
Here is the latest shader code:
#pragma arguments
sampler2D colorMap;
uniform sampler2D colorMap;
#pragma body
float x = ((_surface.normal.x * 57.29577951) + 180.0) / 360.0;
float y = 1.0 - ((_surface.normal.y * 57.29577951) + 90.0) / 180.0;
vec4 color = texture2D(colorMap, vec2(x, y));
_output.color.rgba = color;
ANSWER
So I solved the problem. It turned out that there was no need for a shader to achieve my desired results.
The answer was to use a mappingChannel to provide the geometry with a set of texture coordinates for each vertex. These texture coordinates are used to pull color data from the appropriate texture (it all depends on how you set up your material).
So, whilst I did manage to get a shader working, there were performance issues on older devices, and using a mappingChannel was much much better, working at 60fps on all devices now.
I did find though that despite the documentation saying that a mapping channel is a series of CGPoint objects, that wouldn't work on 64 bit devices because CGPoint seems to use doubles instead of floats.
I needed to define my own struct:
typedef struct {
float x;
float y;
} MyPoint;
MyPoint oneMeshTextureCoordinates[vertexCount];
and then having built up an array of these, one for each vertex, I then created the mappingChannel source as follows:
SCNGeometrySource *textureMappingSource =
[SCNGeometrySource geometrySourceWithData:
[NSData dataWithBytes:oneMeshTextureCoordinates
length:sizeof(MyPoint) * vertexCount]
semantic:SCNGeometrySourceSemanticTexcoord
vertexCount
floatComponents:YES
componentsPerVector:2
bytesPerComponent:sizeof(float)
dataOffset:0
dataStride:sizeof(MyPoint)];
EDIT:
In response to a request, here is a project that demonstrates how I use this. https://github.com/pkclsoft/HexasphereDemo
I am trying to draw texture on a quad which has two triangles. But my objective is to draw texture on a single triangle only (within a mesh), the other triangle is to be left empty.
How can i achieve this ? any sample program or pseudo code will be of a lot help.
Follow the steps below
Check if vertices are correct using the frag shader.
gl_FragColor = vec4(1.0,0.0,0.0,1.0); // The rectangle must be red
If 1. is okay, check uv values.
if 1. is not okay. use this vertices and uv values.
vertices = -1.0,-1.0, 1.0,-1.0, -1.0,1.0, 1.0,1.0
UVs = 0.0,0.0, 1.0,0.0, 0.0,1.0, 1.0,1.0
That's it. You are all set for the next step
I've got a bunch of thumbnails/icons packed right up next to each other in a texture map / sprite sheet. From a pixel to pixel relationship, these are being scaled up from being 145 pixels square to 238 screen pixels square. I was expecting to get +-1 or 2 pixel accuracy on the edges of the box when accessing the texture coordinates, so I'm also drawing a 4 pixel outline overtop of the thumbnail to hide this probable artifact. But I'm seeing huge variations in accuracy. Sometimes it's off in one direction, sometimes the other.
I've checked over the math and I can't figure out what's happening.
The the thumbnail is being scaled up about 1.64 times. So a single pixel off in the source texture coordinate could result in around 2 pixels off on the screen. The 4 pixel white frame over top is being drawn at a 1-1 pixel to fragment relationship and is supposed to cover about 2 pixels on either side of the edge of the box. That part is working. Here I've turned off the border to show how far off the texture coordinates are....
I can tweak the numbers manually to make it go away. But I have to shrink the texture coordinate width/height by several source pixels and in some cases add (or subtract) 5 or 6 pixels to the starting point. I really just want the math to work out or to figure out what I'm doing wrong here. This sort of stuff drives me nuts!
A bunch of crap to know.
The shader is doing the texture coordinate offsetting in the vertex shader...
v_fragmentTexCoord0 = vec2((a_vertexTexCoord0.x * u_texScale) + u_texOffset.s, (a_vertexTexCoord0.y * u_texScale) + u_texOffset.t);
gl_Position = u_modelViewProjectionMatrix * vec4(a_vertexPosition,1.0);
This object is a box which is a triangle strip with 2 tris.
Not that it should matter, but matrix applied to the model isn't doing any scaling. The box is to screen scale. The scaling is happening only in the texture coordinates that are being supplied.
The texture coordinates of the object as seen above are 0.00 - 0.07, then in the shader have an addition of an offset amount which is different per thumbnail. .07 out of 2048 is like 143. Originally I had it at .0708 which should be closer to 145 it was worse and showed more like 148 pixels from the texture. To get it to only show 145 source pixels I have to make it .0.06835 which is 140 pixels.
I've tried doing the math in a calculator and typing in the numbers directly. I've also tried doing like =1305/2048. These are going in to GLfloats not doubles.
This texture map image is PNG and is loaded with these settings:
glTexParameteri(GL_TEXTURE_2D,GL_TEXTURE_MIN_FILTER,GL_NEAREST);
glTexParameteri(GL_TEXTURE_2D,GL_TEXTURE_MAG_FILTER,GL_NEAREST);
glTexParameteri( GL_TEXTURE_2D, GL_TEXTURE_WRAP_S, GL_CLAMP_TO_EDGE );
glTexParameteri( GL_TEXTURE_2D, GL_TEXTURE_WRAP_T, GL_CLAMP_TO_EDGE );
but I've also tried GL_LINEAR with no apparent difference.
I'm not having any accuracy problems on other textures (in the same texture map) where I'm not doing the texture scaling.
It doesn't get farther off as the coords get higher. In the image above the NEG MAP thumb is right next to the HEAT MAP thumb and are off in different directions but correct at the seam.
here's the offset data for those two..
filterTypes[FT_gradientMap20].thumbTexOffsetS = 0.63720703125;
filterTypes[FT_gradientMap20].thumbTexOffsetT = 0.1416015625;
filterTypes[FT_gradientMap21].thumbTexOffsetS = 0.7080078125;
filterTypes[FT_gradientMap21].thumbTexOffsetT = 0.1416015625;
==== UPDATE ====
A couple of things off the bat I realized I was doing wrong and are discussed over here: OpenGL Texture Coordinates in Pixel Space
The width of a single thumbnail is 145. But that would be 0-144, with 145 starting the next one. I was using a width of 145 so that's going to be 1 pixel too big. Using the above center of pixel type math, we should actually go from the center of 0 to the center of 144. 144.5 - 0.5 = 144.
Using his formula of (2i + 1)/(2N) I made new offset amounts for each of the starting points and used the 144/2048 as the width. That made things better but still off in some areas. And again still off in one direction sometimes and the other other times. Although consistent for each x or y position.
Using a width of 143 proves better results. But I can fix them all by just adjusting the numbers manually to work. I want to have the math to make it work out right.
... or.. maybe it has something to do with min/mag filtering - although I read up on that and what I'm doing seems right for this case.
After a lot of experiments and having to create a grid-lined guide texture so I could see exactly how far off each texture was... I finally got it!
It's pretty simple actually.
uniform mat4 u_modelViewProjectionMatrix;
uniform mediump vec2 u_texOffset;
uniform mediump float u_texScale;
attribute vec3 a_vertexPosition;
attribute mediump vec2 a_vertexTexCoord0;
The precision of the texture coordinates. By specifying mediump it just fixed itself. I suspect this also would help solve the problem I was having in this question:
Why is a texture coordinate of 1.0 getting beyond the edge of the texture?
Once I did that, I had to go back to my original 145 width (which still seems wrong but oh well). And for what it's worth I ended up then going back to all my original math on all the texture coordinates. The "center of pixel" method was showing more of the neighboring pixels than the straight /2048 did.
I'm trying to draw a "conical"/"arcing" gradient (I don't know what would be the correct term for this) (Photoshop calls it an "angle" gradient —your friendly neighborhood stackoverflow editor) using Objective-C (IOS), pretty much exactly like the image shown in the following thread.
After days of googling and searching the internet to no avail, I've decided to ask for help here.
A little background on what I'm trying to do. My objective is to create a custom UIView, which is circular progress bar, a ring basicly, somewhat similar to the activity indicator as seen in the TweetBot iPhone app (displays when you drag to refresh, which can be seen in action here, around 17-18 seconds into the video, on top of the iphone screen). I want the progress indicator (the fill of the ring) to be a simple two color gradient, which can be set programmatically, and the view to be resizable.
Filling the ring shape with a gradient that "follows" the arc of the ring is where I'm stuck. The answers that I get from googling, reading Apple's Core Graphics documentation on gradients and searching on SO are either about radial gradients or linear/axial gradients, which is not what I'm trying to achieve.
The thread linked above suggests using pre-made images, but this isn't an option because the colors of the gradient should be settable, the view should be resizable and the fill of the progress bar isn't always 100% full obviously (which would be the state of the gradient as shown in the picture in the thread above).
The only solution that I've come up with is to draw the gradient "manually", so without using a CGGradientRef, clipping small slices of the gradient with single solid color fills within a circular path. I don't know exactly how well this will perform when the bar is being animated though, it shouldn't be that bad, but it might be a problem.
So my first question:
Is there an easier/different solution to draw a conical/arcing gradient in Objective-C (IOS) than the solution I've come up with?
Second question:
If I have to draw the gradient manually in my view using the solution I came up with, how can I determine or calculate (if this is even possible) the value (HEX or RGBA) of each color "slice" of the gradient that I'm trying to draw, as illustrated in the image below.
(Can't link image) gradient slice illustration
Looks to me like a job for a pixel shader. I remember seeing a Quartz Composer example that simulated a radar sweep, and that used a pixel shader to produce an effect like you're describing.
Edit:
Found it. This shader was written by Peter Graffignino:
kernel vec4 radarSweep(sampler image, __color color1,__color color2, float angle, vec4 rect)
{
vec4 val = sample(image, samplerCoord(image));
vec2 locCart = destCoord();
float theta, r, frac, angleDist;
locCart.x = (locCart.x - rect.z/2.0) / (rect.z/2.0);
locCart.y = (locCart.y - rect.w/2.0) / (rect.w/2.0);
// locCart is now normalized
theta = degrees(atan(locCart.y, locCart.x));
theta = (theta < 0.0) ? theta + 360.0 : theta;
r = length(locCart);
angleDist = theta - angle;
angleDist = (angleDist < 0.0) ? angleDist + 360.0 : angleDist;
frac = 1.0 - angleDist/360.0;
// sum up 3 decaying phosphors with different time constants
val = val*exp2(-frac/.005) + (val+.1)*exp2(-frac/.25)*color1 + val*exp2(-frac/.021)*color2;
val = r > 1.0 ? vec4(0.0, 0.0,0.0,0.0) : val; // constrain to circle
return val;
}
The thread linked above suggests using pre-made images, but this isn't an option because the colors of the gradient should be settable, the view should be resizable and the fill of the progress bar isn't always 100% full obviously (which would be the state of the gradient as shown in the picture in the thread above).
Not a problem!
Use the very black-to-white image from the other question (or a bigger version if you need one), in the following fashion:
Clip to whatever shape you want to draw the gradient in.
Fill with the color at the end of the gradient.
Use the black-to-white gradient image as a mask.
Fill with the color at the start of the gradient.
You can rotate the gradient by rotating the mask image.
This only supports the simplest case of a gradient with a color at each extreme end; it doesn't scale to three or more colors and doesn't support unusual gradient stop positioning.
FYI: here's also a good tutorial for creating a circular progress bar using Quartz drawing.
http://www.turnedondigital.com/blog/quartz-tutorial-how-to-draw-in-quartz/
The Orange book, section 16.2, lists implementing diffuse lighting as:
void main()
{
vec3 N = normalize(gl_NormalMatrix * gl_Normal);
vec4 V = gl_ModelViewMatrix * gl_vertex;
vec3 L = normalize(lightPos - V.xyz);
gl_FrontColor = gl_Color * vec4(max(0.0, dot(N, L));
}
However, when I run this, the lighting changes when I move my camera.
On the other hand, when I change
vec3 N = normalize(gl_NormalMatrix * gl_Normal);
to
vec3 N = normalize(gl_Normal);
I get diffuse lighting that works like the fixed pipeline.
What is this gl_NormalMatrix, what did removing it do, ... and is this a bug in the orange book ... or am I setting up my OpenGl code improperly?
[For completeness, the fragment shader just copies the color]
OK, I hope there's nothing wrong with answering your question after over half a year? :)
So there are two things to discuss here:
a) What should the shader look like
You SHOULD transform your normals by the modelview matrix - that's a given. Consider what would happen if you don't - your modelview matrix can contain some kind of rotation. Your cube would be rotated, but the normals would still point in the old direction! This is clearly wrong.
So: When you transform your vertices by modelview matrix, you should also transform the normals. Your normals are vec3 not vec4, and you're not interested in translations (normals only contain direction), so you can just multiply your normal by mat3(gl_ModelViewMatrix), which is the upper-left 3-3 submatrix.
Then: This is ALMOST correct, but still a bit wrong - the reasons are well-described on Lighthouse 3D - go have a read. Long story short, instead of mat3(gl_ModelViewMatrix), you have to multiply by an inverse transpose of that.
And OpenGL 2 is very helpful and precalculates this for you as gl_NormalMatrix. Hence, the correct code is:
vec3 N = normalize(gl_NormalMatrix * gl_Normal);
b) But it's different from fixed pipeline, why?
The first thing which comes to my mind is that "something's wrong with your usage of fixed pipeline".
I'm not really keen on FP (long live shaders!), but as far as I can remember, when you specify your lights via glLightParameterfv(GL_LIGHT_POSITION, something), this was affected by the modelview matrix. It was easy (at least for me :)) to make a mistake of specifying the light position (or light direction for directional lights) in the wrong coordinate system.
I'm not sure if I remember correctly how that worked back then since I use GL3 and shaders nowadays, but let me try... what was your state of modelview matrix? I think it just might be possible that you have specified the directional light direction in object space instead of eye space, so that your light would rotate together with your object. IDK if that's relevant here, but make sure to pay attention to that when using FF. That's a mistake I remember myself doing often when I was still using GL 1.1.
Depending on the modelview state, you could specify the light in:
eye (camera) space,
world space,
object space.
Make sure which one it is.
Huh.. I hope that makes the topic more clear for you. The conclusions are:
always transform your normals along with your vertices in your vertex shaders, and
if it looks different from what you expect, think how you specify your light positions. (Maybe you want to multiply the light postion vector in a shader too? The remarks about light position coordinate systems still hold)